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Finding the Third Proportional to 166,569 and 237,394.50

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Solution

The third proportional to 166,569 and 237,394.50 is: 338,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,569 : 237,394.50 = 237,394.50 : x
  2. Step 2: Convert to fraction form
    166,569/237,394.50 = 237,394.50/x
  3. Step 3: Cross multiply
    166,569x = 237,394.50 × 237,394.50
  4. Step 4: Simplify right side
    166,569x = 56,356,148,630.25
  5. Step 5: Solve for x
    x = 56,356,148,630.25/166,569
  6. Step 6: Final answer
    x = 338,335.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.